44 citations · 60 across the 27 of their papers we have counts for
27 papers
Quasi-Frobenius-Lusztig kernels for simple Lie algebras
Gongxiang Liu, Fred Van Oystaeyen, Yinhuo Zhang
In this paper, we construct the quasi-Frobenius-Lusztig kernel for any simple Lie algebra .
Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras
Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang
We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coh…
Dualities of artinian coalgebras with applications to noetherian complete algebras
J. -W. He, B. Torrecillas, F. Van Oystaeyen +1
A duality theorem of the bounded derived category of quasi-finite comodules over an artinian coalgebra is established. Let be a noetherian complete basic semiperfect algebra ov…
New Families of Finite Coherent Orthoalgebras without Bivaluations
Artur Ruuge, Fred Van Oystaeyen
In the present paper we study the following problem: how to construct a coherent orthoalgebra which has only a finite number of elements, but at the same time does not admit a biva…
Cocommutative Calabi-Yau Hopf algebras and deformations
J. -W. He, F. Van Oystaeyen, Y. Zhang
The Calabi-Yau property of cocommutative Hopf algebras is discussed by using the homological integral, a recently introduced tool for studying infinite dimensional AS-Gorenstein Ho…
Maximal Graded Orders over Crystalline Graded Rings
Tim Neijens, Fred Van Oystaeyen
Crystalline graded rings are generalizations of certain classes of rings like generalized twisted group rings, generalized Weyl algebras, and generalized skew crossed products. Whe…